## Title data

Bauer, Maximilian ; Bebendorf, Mario:

**Block-adaptive Cross Approximation of Discrete Integral Operators.**

Bayreuth
,
2019
. - 21 p.

DOI: https://doi.org/10.15495/EPub_UBT_00004384

## Project information

Project financing: |
Deutsche Forschungsgemeinschaft |
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## Abstract in another language

In this article we extend the adaptive cross approximation (ACA) method known for the efficient approximation of discretisations of integral operators to a block-adaptive version. While ACA is usually employed to assemble hierarchical matrix approximations having the same prescribed accuracy on all blocks of the partition, for the solution of linear systems it may be more efficient to adapt the accuracy of each block to the actual error of the solution as some blocks may be more important for the solution error than others. To this end, error estimation techniques known from adaptive mesh refinement are applied to automatically improve the block-wise Matrix approximation. This allows to interlace the assembling of the coefficient Matrix with the iterative solution.

## Further data

Item Type: | Preprint, postprint |
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Keywords: | ACA; error estimators; BEM; non-local operators; hierarchical matrices; fast solvers |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Lehrstuhl Wissenschaftliches Rechnen > CLehrstuhl Wissenschaftliches Rechnen - Univ.-Prof. Dr. Mario Bebendorf Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Lehrstuhl Wissenschaftliches Rechnen |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 08 Jun 2019 21:00 |

Last Modified: | 11 Jun 2019 06:05 |

URI: | https://eref.uni-bayreuth.de/id/eprint/49454 |